Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010cl |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2193408 |
Modular degree for the optimal curve |
Δ |
-281281040495884800 = -1 · 29 · 38 · 52 · 79 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-310465,-71434945] |
[a1,a2,a3,a4,a6] |
Generators |
[4283:275688:1] |
Generators of the group modulo torsion |
j |
-82012373675623/6970406400 |
j-invariant |
L |
10.410652849288 |
L(r)(E,1)/r! |
Ω |
0.10063801091834 |
Real period |
R |
1.4367573380519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010cw1 |
Quadratic twists by: -7 |